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University of Arizona

1. Shearman, Toby. Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions .

Degree: 2017, University of Arizona

URL: http://hdl.handle.net/10150/625653

► Thin elastic objects, including leaves, flowers, plastic sheets and sails, are ubiquitous in nature and their technological applications are growing with the introduction of hydrogel…
(more)

Subjects/Keywords: Differential Geometry; Materials; Nonlinear Elasticity

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APA (6^{th} Edition):

Shearman, T. (2017). Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/625653

Chicago Manual of Style (16^{th} Edition):

Shearman, Toby. “Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions .” 2017. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/625653.

MLA Handbook (7^{th} Edition):

Shearman, Toby. “Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions .” 2017. Web. 08 May 2021.

Vancouver:

Shearman T. Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions . [Internet] [Doctoral dissertation]. University of Arizona; 2017. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/625653.

Council of Science Editors:

Shearman T. Geometry and Mechanics of Leaves and the Role of Weakly-Irregular Isometric Immersions . [Doctoral Dissertation]. University of Arizona; 2017. Available from: http://hdl.handle.net/10150/625653

University of Arizona

2. Yamamoto, Kenneth Kenji. Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity .

Degree: 2020, University of Arizona

URL: http://hdl.handle.net/10150/648663

► This dissertation explores the ways in which the geometry of thin objects influences their mechanics, i.e., the way they respond to external forces/stimuli and the…
(more)

Subjects/Keywords: elastic sheets; energy minimization; geometry; isometric immersion; mechanics; non-Euclidean

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APA (6^{th} Edition):

Yamamoto, K. K. (2020). Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/648663

Chicago Manual of Style (16^{th} Edition):

Yamamoto, Kenneth Kenji. “Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity .” 2020. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/648663.

MLA Handbook (7^{th} Edition):

Yamamoto, Kenneth Kenji. “Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity .” 2020. Web. 08 May 2021.

Vancouver:

Yamamoto KK. Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity . [Internet] [Doctoral dissertation]. University of Arizona; 2020. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/648663.

Council of Science Editors:

Yamamoto KK. Computation, Discrete Geometry, and Soft Mechanics in Non-Euclidean Elasticity . [Doctoral Dissertation]. University of Arizona; 2020. Available from: http://hdl.handle.net/10150/648663

University of Arizona

3. Shah, Aalok K. Geometry Of Alpha And Beta Protein Structures .

Degree: 2015, University of Arizona

URL: http://hdl.handle.net/10150/578419

► Proteins have a wide array of essential functions: from serving as enzymatic catalysts to protecting the immune system as antibodies. Proteins spontaneously self-organize into specific,…
(more)

Subjects/Keywords: coiled coils; continuous; geometry; proteins; Applied Mathematics; beta barrel

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APA (6^{th} Edition):

Shah, A. K. (2015). Geometry Of Alpha And Beta Protein Structures . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/578419

Chicago Manual of Style (16^{th} Edition):

Shah, Aalok K. “Geometry Of Alpha And Beta Protein Structures .” 2015. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/578419.

MLA Handbook (7^{th} Edition):

Shah, Aalok K. “Geometry Of Alpha And Beta Protein Structures .” 2015. Web. 08 May 2021.

Vancouver:

Shah AK. Geometry Of Alpha And Beta Protein Structures . [Internet] [Doctoral dissertation]. University of Arizona; 2015. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/578419.

Council of Science Editors:

Shah AK. Geometry Of Alpha And Beta Protein Structures . [Doctoral Dissertation]. University of Arizona; 2015. Available from: http://hdl.handle.net/10150/578419

University of Arizona

4. Davis, Erik. Consistency of Modularity Clustering on Random Geometric Graphs .

Degree: 2016, University of Arizona

URL: http://hdl.handle.net/10150/620720

► We consider a large class of random geometric graphs constructed from independent, identically distributed observations of an underlying probability measure on a bounded domain. The…
(more)

Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Davis, E. (2016). Consistency of Modularity Clustering on Random Geometric Graphs . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/620720

Chicago Manual of Style (16^{th} Edition):

Davis, Erik. “Consistency of Modularity Clustering on Random Geometric Graphs .” 2016. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/620720.

MLA Handbook (7^{th} Edition):

Davis, Erik. “Consistency of Modularity Clustering on Random Geometric Graphs .” 2016. Web. 08 May 2021.

Vancouver:

Davis E. Consistency of Modularity Clustering on Random Geometric Graphs . [Internet] [Doctoral dissertation]. University of Arizona; 2016. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/620720.

Council of Science Editors:

Davis E. Consistency of Modularity Clustering on Random Geometric Graphs . [Doctoral Dissertation]. University of Arizona; 2016. Available from: http://hdl.handle.net/10150/620720

University of Arizona

5. Borghese, Michael. A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation .

Degree: 2017, University of Arizona

URL: http://hdl.handle.net/10150/624578

► We give a proof of the long-time asymptotic behavior of the focusing nonlinear Schrödinger equation for generic initial condition in which we have simple discrete…
(more)

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APA (6^{th} Edition):

Borghese, M. (2017). A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/624578

Chicago Manual of Style (16^{th} Edition):

Borghese, Michael. “A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation .” 2017. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/624578.

MLA Handbook (7^{th} Edition):

Borghese, Michael. “A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation .” 2017. Web. 08 May 2021.

Vancouver:

Borghese M. A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation . [Internet] [Doctoral dissertation]. University of Arizona; 2017. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/624578.

Council of Science Editors:

Borghese M. A Proof of the Soliton Resolution Conjecture for the Focusing Nonlinear Schrödinger Equation . [Doctoral Dissertation]. University of Arizona; 2017. Available from: http://hdl.handle.net/10150/624578

University of Arizona

6. Lim, Soon Hoe. Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics .

Degree: 2018, University of Arizona

URL: http://hdl.handle.net/10150/627697

► This dissertation investigates effective dynamics of models for open systems, of classical and quantum nature, arising in non-equilibrium statistical mechanics. The evolution of the system's…
(more)

Subjects/Keywords: Ph.D.

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APA (6^{th} Edition):

Lim, S. H. (2018). Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/627697

Chicago Manual of Style (16^{th} Edition):

Lim, Soon Hoe. “Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics .” 2018. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/627697.

MLA Handbook (7^{th} Edition):

Lim, Soon Hoe. “Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics .” 2018. Web. 08 May 2021.

Vancouver:

Lim SH. Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics . [Internet] [Doctoral dissertation]. University of Arizona; 2018. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/627697.

Council of Science Editors:

Lim SH. Effective Dynamics of Open Systems in Non-Equilibrium Statistical Mechanics . [Doctoral Dissertation]. University of Arizona; 2018. Available from: http://hdl.handle.net/10150/627697

University of Arizona

7. Greene, Patrick. A Bayesian Approach to Spike Sorting of Neural Data via Source Localization .

Degree: 2018, University of Arizona

URL: http://hdl.handle.net/10150/628404

► This dissertation describes a novel mathematical algorithm for extracting spike data and positional information from extracellular electrophysiological neural recordings. By capturing the electrical signals emitted…
(more)

Subjects/Keywords: algorithms; electrodes; electrophysiology; extracellular recordings; spikes; spike sorting

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APA (6^{th} Edition):

Greene, P. (2018). A Bayesian Approach to Spike Sorting of Neural Data via Source Localization . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/628404

Chicago Manual of Style (16^{th} Edition):

Greene, Patrick. “A Bayesian Approach to Spike Sorting of Neural Data via Source Localization .” 2018. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/628404.

MLA Handbook (7^{th} Edition):

Greene, Patrick. “A Bayesian Approach to Spike Sorting of Neural Data via Source Localization .” 2018. Web. 08 May 2021.

Vancouver:

Greene P. A Bayesian Approach to Spike Sorting of Neural Data via Source Localization . [Internet] [Doctoral dissertation]. University of Arizona; 2018. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/628404.

Council of Science Editors:

Greene P. A Bayesian Approach to Spike Sorting of Neural Data via Source Localization . [Doctoral Dissertation]. University of Arizona; 2018. Available from: http://hdl.handle.net/10150/628404

University of Arizona

8. Liang, Jinjin. Curvature Flows on Polygons and Surface Clusters .

Degree: 2018, University of Arizona

URL: http://hdl.handle.net/10150/628420

► This thesis explores geometric variational problems on various contexts. We consider the evolution of planar polygons under the flow which decrease the L^p-norm of a…
(more)

Subjects/Keywords: curvature flow; double bubble; polygon; triple junction

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APA (6^{th} Edition):

Liang, J. (2018). Curvature Flows on Polygons and Surface Clusters . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/628420

Chicago Manual of Style (16^{th} Edition):

Liang, Jinjin. “Curvature Flows on Polygons and Surface Clusters .” 2018. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/628420.

MLA Handbook (7^{th} Edition):

Liang, Jinjin. “Curvature Flows on Polygons and Surface Clusters .” 2018. Web. 08 May 2021.

Vancouver:

Liang J. Curvature Flows on Polygons and Surface Clusters . [Internet] [Doctoral dissertation]. University of Arizona; 2018. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/628420.

Council of Science Editors:

Liang J. Curvature Flows on Polygons and Surface Clusters . [Doctoral Dissertation]. University of Arizona; 2018. Available from: http://hdl.handle.net/10150/628420

University of Arizona

9. MacLaughlin, Andrew. Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds .

Degree: 2018, University of Arizona

URL: http://hdl.handle.net/10150/631310

► A result of Ambrose and Singer characterizes connected, locally homogeneous spaces by the existence of one or more special affine connections, called homogeneous structures. In…
(more)

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APA (6^{th} Edition):

MacLaughlin, A. (2018). Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/631310

Chicago Manual of Style (16^{th} Edition):

MacLaughlin, Andrew. “Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds .” 2018. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/631310.

MLA Handbook (7^{th} Edition):

MacLaughlin, Andrew. “Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds .” 2018. Web. 08 May 2021.

Vancouver:

MacLaughlin A. Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds . [Internet] [Doctoral dissertation]. University of Arizona; 2018. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/631310.

Council of Science Editors:

MacLaughlin A. Using Homogeneous Structures to Measure Homogeneity of Riemannian Manifolds . [Doctoral Dissertation]. University of Arizona; 2018. Available from: http://hdl.handle.net/10150/631310

University of Arizona

10. Tao, Yuan. The Potential Exterior to Close-To-Touching Discs .

Degree: 2019, University of Arizona

URL: http://hdl.handle.net/10150/631895

► There are many two-dimensional physical systems governed by potentials that satisfy the Laplace’s equation and Dirichlet boundary condition. An elegant approach is to set up…
(more)

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APA (6^{th} Edition):

Tao, Y. (2019). The Potential Exterior to Close-To-Touching Discs . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/631895

Chicago Manual of Style (16^{th} Edition):

Tao, Yuan. “The Potential Exterior to Close-To-Touching Discs .” 2019. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/631895.

MLA Handbook (7^{th} Edition):

Tao, Yuan. “The Potential Exterior to Close-To-Touching Discs .” 2019. Web. 08 May 2021.

Vancouver:

Tao Y. The Potential Exterior to Close-To-Touching Discs . [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/631895.

Council of Science Editors:

Tao Y. The Potential Exterior to Close-To-Touching Discs . [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/631895

University of Arizona

11. Murphy, Dylan. Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations .

Degree: 2019, University of Arizona

URL: http://hdl.handle.net/10150/636509

► We develop a class of Darboux transformations called additions for Jacobi operators. We show that by conjugating by a reflection, an addition may be inverted…
(more)

Subjects/Keywords: Darboux transformation; Integrable systems; Toda lattice

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APA (6^{th} Edition):

Murphy, D. (2019). Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/636509

Chicago Manual of Style (16^{th} Edition):

Murphy, Dylan. “Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations .” 2019. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/636509.

MLA Handbook (7^{th} Edition):

Murphy, Dylan. “Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations .” 2019. Web. 08 May 2021.

Vancouver:

Murphy D. Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations . [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/636509.

Council of Science Editors:

Murphy D. Additions for Jacobi Operators and the Toda Hierarchy of Lattice Equations . [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/636509

University of Arizona

12. Harty, Travis Michael. Data Assimilation and Applications in Forecasting .

Degree: 2021, University of Arizona

URL: http://hdl.handle.net/10150/650873

► The work presented here spans two projects which are connected by data assimilationand specifically the ensemble Kalman filter (EnKF). The first explores how spatial localization,…
(more)

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APA (6^{th} Edition):

Harty, T. M. (2021). Data Assimilation and Applications in Forecasting . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/650873

Chicago Manual of Style (16^{th} Edition):

Harty, Travis Michael. “Data Assimilation and Applications in Forecasting .” 2021. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/650873.

MLA Handbook (7^{th} Edition):

Harty, Travis Michael. “Data Assimilation and Applications in Forecasting .” 2021. Web. 08 May 2021.

Vancouver:

Harty TM. Data Assimilation and Applications in Forecasting . [Internet] [Doctoral dissertation]. University of Arizona; 2021. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/650873.

Council of Science Editors:

Harty TM. Data Assimilation and Applications in Forecasting . [Doctoral Dissertation]. University of Arizona; 2021. Available from: http://hdl.handle.net/10150/650873

University of Arizona

13. Whalen, Patrick. Full Field Propagation Models And Methods For Extreme Nonlinear Optics .

Degree: 2015, University of Arizona

URL: http://hdl.handle.net/10150/347238

► This dissertation examines models, methods, and applications of electric field pulse propagation in nonlinear optics. Standard nonlinear optical propagation models such as the NLS equation…
(more)

Subjects/Keywords: Applied Mathematics

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APA (6^{th} Edition):

Whalen, P. (2015). Full Field Propagation Models And Methods For Extreme Nonlinear Optics . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/347238

Chicago Manual of Style (16^{th} Edition):

Whalen, Patrick. “Full Field Propagation Models And Methods For Extreme Nonlinear Optics .” 2015. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/347238.

MLA Handbook (7^{th} Edition):

Whalen, Patrick. “Full Field Propagation Models And Methods For Extreme Nonlinear Optics .” 2015. Web. 08 May 2021.

Vancouver:

Whalen P. Full Field Propagation Models And Methods For Extreme Nonlinear Optics . [Internet] [Doctoral dissertation]. University of Arizona; 2015. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/347238.

Council of Science Editors:

Whalen P. Full Field Propagation Models And Methods For Extreme Nonlinear Optics . [Doctoral Dissertation]. University of Arizona; 2015. Available from: http://hdl.handle.net/10150/347238

University of Arizona

14. Leach, Andrew Bradford. Monte Carlo Methods for Stochastic Differential Equations and their Applications .

Degree: 2017, University of Arizona

URL: http://hdl.handle.net/10150/624570

► We introduce computationally efficient Monte Carlo methods for studying the statistics of stochastic differential equations in two distinct settings. In the first, we derive importance…
(more)

Subjects/Keywords: Continuation; Gaussian Approximation; Importance Sampling; Monte Carlo Methods; Stochastic Approximation; Stochastic Differential Equations

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APA (6^{th} Edition):

Leach, A. B. (2017). Monte Carlo Methods for Stochastic Differential Equations and their Applications . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/624570

Chicago Manual of Style (16^{th} Edition):

Leach, Andrew Bradford. “Monte Carlo Methods for Stochastic Differential Equations and their Applications .” 2017. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/624570.

MLA Handbook (7^{th} Edition):

Leach, Andrew Bradford. “Monte Carlo Methods for Stochastic Differential Equations and their Applications .” 2017. Web. 08 May 2021.

Vancouver:

Leach AB. Monte Carlo Methods for Stochastic Differential Equations and their Applications . [Internet] [Doctoral dissertation]. University of Arizona; 2017. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/624570.

Council of Science Editors:

Leach AB. Monte Carlo Methods for Stochastic Differential Equations and their Applications . [Doctoral Dissertation]. University of Arizona; 2017. Available from: http://hdl.handle.net/10150/624570

University of Arizona

15. Hendrick, Angus Greer. Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders .

Degree: 2013, University of Arizona

URL: http://hdl.handle.net/10150/301663

► Researchers using Darcy's law to model flow in porous media must satisfy the requirement for sufficient scale separation between the pore scale and the model…
(more)

Subjects/Keywords: permeability; stokes flow; Materials Science & Engineering; Darcy's law

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APA (6^{th} Edition):

Hendrick, A. G. (2013). Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/301663

Chicago Manual of Style (16^{th} Edition):

Hendrick, Angus Greer. “Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders .” 2013. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/301663.

MLA Handbook (7^{th} Edition):

Hendrick, Angus Greer. “Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders .” 2013. Web. 08 May 2021.

Vancouver:

Hendrick AG. Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders . [Internet] [Doctoral dissertation]. University of Arizona; 2013. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/301663.

Council of Science Editors:

Hendrick AG. Effects of Domain Size on Transverse Permeability through Random Arrays of Cylinders . [Doctoral Dissertation]. University of Arizona; 2013. Available from: http://hdl.handle.net/10150/301663

16. Kent, Stuart Thomas. Multi-Scale Conformal Maps and Free Boundary Problems .

Degree: 2013, University of Arizona

URL: http://hdl.handle.net/10150/301534

► In this dissertation, we study free boundary problems that describe equilibrium configurations of electromechanical systems consisting of a conducting elastic sheet deflected by an external…
(more)

Subjects/Keywords: Applied Mathematics

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APA (6^{th} Edition):

Kent, S. T. (2013). Multi-Scale Conformal Maps and Free Boundary Problems . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/301534

Chicago Manual of Style (16^{th} Edition):

Kent, Stuart Thomas. “Multi-Scale Conformal Maps and Free Boundary Problems .” 2013. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/301534.

MLA Handbook (7^{th} Edition):

Kent, Stuart Thomas. “Multi-Scale Conformal Maps and Free Boundary Problems .” 2013. Web. 08 May 2021.

Vancouver:

Kent ST. Multi-Scale Conformal Maps and Free Boundary Problems . [Internet] [Doctoral dissertation]. University of Arizona; 2013. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/301534.

Council of Science Editors:

Kent ST. Multi-Scale Conformal Maps and Free Boundary Problems . [Doctoral Dissertation]. University of Arizona; 2013. Available from: http://hdl.handle.net/10150/301534

17. Rosenthal, William Steven. Data Assimilation In Systems With Strong Signal Features .

Degree: 2014, University of Arizona

URL: http://hdl.handle.net/10150/339055

► Filtering problems in high dimensional geophysical applications often require spatially continuous models to interpolate spatially and temporally sparse data. Many applications in numerical weather and…
(more)

Subjects/Keywords: Data Assimilation; Displacement Assimilation; Ensemble Kalman Filter; Hurricane Tracking; Barotropic Vorticity; Applied Mathematics

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APA (6^{th} Edition):

Rosenthal, W. S. (2014). Data Assimilation In Systems With Strong Signal Features . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/339055

Chicago Manual of Style (16^{th} Edition):

Rosenthal, William Steven. “Data Assimilation In Systems With Strong Signal Features .” 2014. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/339055.

MLA Handbook (7^{th} Edition):

Rosenthal, William Steven. “Data Assimilation In Systems With Strong Signal Features .” 2014. Web. 08 May 2021.

Vancouver:

Rosenthal WS. Data Assimilation In Systems With Strong Signal Features . [Internet] [Doctoral dissertation]. University of Arizona; 2014. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/339055.

Council of Science Editors:

Rosenthal WS. Data Assimilation In Systems With Strong Signal Features . [Doctoral Dissertation]. University of Arizona; 2014. Available from: http://hdl.handle.net/10150/339055

18. Gemmer, John Alan. Shape Selection in the Non-Euclidean Model of Elasticity .

Degree: 2012, University of Arizona

URL: http://hdl.handle.net/10150/223311

► In this dissertation we investigate the behavior of radially symmetric non-Euclidean plates of thickness t with constant negative Gaussian curvature. We present a complete study…
(more)

Subjects/Keywords: non-Euclidean elasticity; nonlinear elasticity; thin elastic sheets; Applied Mathematics; calculus of variations; morphogenesis of soft tissue

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APA (6^{th} Edition):

Gemmer, J. A. (2012). Shape Selection in the Non-Euclidean Model of Elasticity . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/223311

Chicago Manual of Style (16^{th} Edition):

Gemmer, John Alan. “Shape Selection in the Non-Euclidean Model of Elasticity .” 2012. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/223311.

MLA Handbook (7^{th} Edition):

Gemmer, John Alan. “Shape Selection in the Non-Euclidean Model of Elasticity .” 2012. Web. 08 May 2021.

Vancouver:

Gemmer JA. Shape Selection in the Non-Euclidean Model of Elasticity . [Internet] [Doctoral dissertation]. University of Arizona; 2012. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/223311.

Council of Science Editors:

Gemmer JA. Shape Selection in the Non-Euclidean Model of Elasticity . [Doctoral Dissertation]. University of Arizona; 2012. Available from: http://hdl.handle.net/10150/223311

19. Clark, Colin L. Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media .

Degree: 2019, University of Arizona

URL: http://hdl.handle.net/10150/633009

► We develop reduced-order, phenomenological models for effective conductivity, and for mass transport, in highly heterogeneous, composite porous media. Composite porous media consist of two or…
(more)

Subjects/Keywords: CTMC; Effective Conductivity; Mechanical Dispersivity; Non-Gaussian random fields; Percolation; Simulated Annealing

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APA (6^{th} Edition):

Clark, C. L. (2019). Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/633009

Chicago Manual of Style (16^{th} Edition):

Clark, Colin L. “Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media .” 2019. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/633009.

MLA Handbook (7^{th} Edition):

Clark, Colin L. “Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media .” 2019. Web. 08 May 2021.

Vancouver:

Clark CL. Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media . [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/633009.

Council of Science Editors:

Clark CL. Computational Experiments Quantifying the Scale-up of Geometric Facies Structure on Conductivity and Transport through Composite Porous Media . [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/633009

20. Hui, Guangyu. Modeling Oil Spilling On Water .

Degree: 2019, University of Arizona

URL: http://hdl.handle.net/10150/633103

► For the offshore oil industry, a primary concern is an accidental oil spill. Potentially, oil can spill from the platform during the extraction or from…
(more)

Subjects/Keywords: Data Assimilation; Dimension Reduction; Fluid Dynamics; Numerical Simulation; Partial Differential Equation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hui, G. (2019). Modeling Oil Spilling On Water . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/633103

Chicago Manual of Style (16^{th} Edition):

Hui, Guangyu. “Modeling Oil Spilling On Water .” 2019. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/633103.

MLA Handbook (7^{th} Edition):

Hui, Guangyu. “Modeling Oil Spilling On Water .” 2019. Web. 08 May 2021.

Vancouver:

Hui G. Modeling Oil Spilling On Water . [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/633103.

Council of Science Editors:

Hui G. Modeling Oil Spilling On Water . [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/633103

21. Hofstrand, Andrew Martin. Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses .

Degree: 2019, University of Arizona

URL: http://hdl.handle.net/10150/636522

► This thesis consists of three main contributions to the theoretical and practical pursuit of modeling the nonlinear propagation of ultrashort, long-wavelength laser pulses through transparent…
(more)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hofstrand, A. M. (2019). Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/636522

Chicago Manual of Style (16^{th} Edition):

Hofstrand, Andrew Martin. “Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses .” 2019. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/636522.

MLA Handbook (7^{th} Edition):

Hofstrand, Andrew Martin. “Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses .” 2019. Web. 08 May 2021.

Vancouver:

Hofstrand AM. Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses . [Internet] [Doctoral dissertation]. University of Arizona; 2019. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/636522.

Council of Science Editors:

Hofstrand AM. Mathematical Aspects of Modeling the Propagation of Intense, Ultrashort Long-Wavelength Laser Pulses . [Doctoral Dissertation]. University of Arizona; 2019. Available from: http://hdl.handle.net/10150/636522

22. Zhelezov, Gleb. Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations .

Degree: 2017, University of Arizona

URL: http://hdl.handle.net/10150/624562

► We study a stochastic particle system with a logarithmically-singular inter-particle interaction potential which allows for inelastic particle collisions. We relate the squared Bessel process to…
(more)

Subjects/Keywords: Bessel process; Blow-up; Coarsening; Interacting particle systems; Keller-Segel; Vlasov-Poisson

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zhelezov, G. (2017). Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/624562

Chicago Manual of Style (16^{th} Edition):

Zhelezov, Gleb. “Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations .” 2017. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/624562.

MLA Handbook (7^{th} Edition):

Zhelezov, Gleb. “Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations .” 2017. Web. 08 May 2021.

Vancouver:

Zhelezov G. Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations . [Internet] [Doctoral dissertation]. University of Arizona; 2017. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/624562.

Council of Science Editors:

Zhelezov G. Coalescing Particle Systems and Applications to Nonlinear Fokker-Planck Equations . [Doctoral Dissertation]. University of Arizona; 2017. Available from: http://hdl.handle.net/10150/624562

23. Pittman-Polletta, Benjamin Rafael. Factorization in unitary loop groups and reduced words in affine Weyl groups.

Degree: 2010, University of Arizona

URL: http://hdl.handle.net/10150/194348

► The purpose of this dissertation is to elaborate, with specific examples and calculations, on a new refinement of triangular factorization for the loop group of…
(more)

Subjects/Keywords: affine weyl groups; birkhoff factorization; loop groups; reduced words; triangular factorization

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Pittman-Polletta, B. R. (2010). Factorization in unitary loop groups and reduced words in affine Weyl groups. (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/194348

Chicago Manual of Style (16^{th} Edition):

Pittman-Polletta, Benjamin Rafael. “Factorization in unitary loop groups and reduced words in affine Weyl groups. ” 2010. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/194348.

MLA Handbook (7^{th} Edition):

Pittman-Polletta, Benjamin Rafael. “Factorization in unitary loop groups and reduced words in affine Weyl groups. ” 2010. Web. 08 May 2021.

Vancouver:

Pittman-Polletta BR. Factorization in unitary loop groups and reduced words in affine Weyl groups. [Internet] [Doctoral dissertation]. University of Arizona; 2010. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/194348.

Council of Science Editors:

Pittman-Polletta BR. Factorization in unitary loop groups and reduced words in affine Weyl groups. [Doctoral Dissertation]. University of Arizona; 2010. Available from: http://hdl.handle.net/10150/194348

24. Comeau, Darin. Conceptual and Numerical Modeling of Ice in a Global Climate Framework .

Degree: 2013, University of Arizona

URL: http://hdl.handle.net/10150/297044

► Ice is both an important indicator, and agent, of climate change. In this work we consider conceptual and numerical models of ice in the global…
(more)

Subjects/Keywords: Applied Mathematics; climate

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Comeau, D. (2013). Conceptual and Numerical Modeling of Ice in a Global Climate Framework . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/297044

Chicago Manual of Style (16^{th} Edition):

Comeau, Darin. “Conceptual and Numerical Modeling of Ice in a Global Climate Framework .” 2013. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/297044.

MLA Handbook (7^{th} Edition):

Comeau, Darin. “Conceptual and Numerical Modeling of Ice in a Global Climate Framework .” 2013. Web. 08 May 2021.

Vancouver:

Comeau D. Conceptual and Numerical Modeling of Ice in a Global Climate Framework . [Internet] [Doctoral dissertation]. University of Arizona; 2013. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/297044.

Council of Science Editors:

Comeau D. Conceptual and Numerical Modeling of Ice in a Global Climate Framework . [Doctoral Dissertation]. University of Arizona; 2013. Available from: http://hdl.handle.net/10150/297044

University of Arizona

25. Weir, Brad. The transfer of momentum from waves to currents due to wave breaking .

Degree: 2010, University of Arizona

URL: http://hdl.handle.net/10150/195128

► The research presented in this dissertation focuses on understanding the dynamics of waves and currents in the presence of wave breaking. The simplest approach, direct…
(more)

Subjects/Keywords: currents; langmuir circulations; rip currents; vortex force; wave breaking; waves

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Weir, B. (2010). The transfer of momentum from waves to currents due to wave breaking . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/195128

Chicago Manual of Style (16^{th} Edition):

Weir, Brad. “The transfer of momentum from waves to currents due to wave breaking .” 2010. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/195128.

MLA Handbook (7^{th} Edition):

Weir, Brad. “The transfer of momentum from waves to currents due to wave breaking .” 2010. Web. 08 May 2021.

Vancouver:

Weir B. The transfer of momentum from waves to currents due to wave breaking . [Internet] [Doctoral dissertation]. University of Arizona; 2010. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/195128.

Council of Science Editors:

Weir B. The transfer of momentum from waves to currents due to wave breaking . [Doctoral Dissertation]. University of Arizona; 2010. Available from: http://hdl.handle.net/10150/195128

University of Arizona

26. McMahon, Joseph Brian. Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes .

Degree: 2009, University of Arizona

URL: http://hdl.handle.net/10150/194028

► Until the twentieth century, theories of elastic rods and shells arose from collections of geometric and mechanical assumptions and approximations. These theories often lacked internal…
(more)

Subjects/Keywords: Finite elasticity; Incompatible growth; Riemannian geometry; Solid mechanics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

McMahon, J. B. (2009). Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/194028

Chicago Manual of Style (16^{th} Edition):

McMahon, Joseph Brian. “Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes .” 2009. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/194028.

MLA Handbook (7^{th} Edition):

McMahon, Joseph Brian. “Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes .” 2009. Web. 08 May 2021.

Vancouver:

McMahon JB. Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes . [Internet] [Doctoral dissertation]. University of Arizona; 2009. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/194028.

Council of Science Editors:

McMahon JB. Geometry and Mechanics of Growing, Nonlinearly Elastic Plates and Membranes . [Doctoral Dissertation]. University of Arizona; 2009. Available from: http://hdl.handle.net/10150/194028

University of Arizona

27. Taft, Jefferson. Intrinsic Geometric Flows on Manifolds of Revolution .

Degree: 2010, University of Arizona

URL: http://hdl.handle.net/10150/194925

► An intrinsic geometric flow is an evolution of a Riemannian metric by a two-tensor. An extrinsic geometric flow is an evolution of an immersion of…
(more)

Subjects/Keywords: Differential Geometry; Geometric Flow; Ricci Flow; Yamabe Flow

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Taft, J. (2010). Intrinsic Geometric Flows on Manifolds of Revolution . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/194925

Chicago Manual of Style (16^{th} Edition):

Taft, Jefferson. “Intrinsic Geometric Flows on Manifolds of Revolution .” 2010. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/194925.

MLA Handbook (7^{th} Edition):

Taft, Jefferson. “Intrinsic Geometric Flows on Manifolds of Revolution .” 2010. Web. 08 May 2021.

Vancouver:

Taft J. Intrinsic Geometric Flows on Manifolds of Revolution . [Internet] [Doctoral dissertation]. University of Arizona; 2010. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/194925.

Council of Science Editors:

Taft J. Intrinsic Geometric Flows on Manifolds of Revolution . [Doctoral Dissertation]. University of Arizona; 2010. Available from: http://hdl.handle.net/10150/194925

University of Arizona

28. Rael, Rosalyn Cherie. Comparing theory and data on multi-species interactions using evolutionary game theory .

Degree: 2009, University of Arizona

URL: http://hdl.handle.net/10150/194398

► Mathematical models with fixed parameters have a long history of use in describing the dynamics of populations in ecological interactions. However, in many instances, evolutionary…
(more)

Subjects/Keywords: competition; consumer-resource; Darwinian dynamics; evolution; evolutionary game theory; Tribolium

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Rael, R. C. (2009). Comparing theory and data on multi-species interactions using evolutionary game theory . (Doctoral Dissertation). University of Arizona. Retrieved from http://hdl.handle.net/10150/194398

Chicago Manual of Style (16^{th} Edition):

Rael, Rosalyn Cherie. “Comparing theory and data on multi-species interactions using evolutionary game theory .” 2009. Doctoral Dissertation, University of Arizona. Accessed May 08, 2021. http://hdl.handle.net/10150/194398.

MLA Handbook (7^{th} Edition):

Rael, Rosalyn Cherie. “Comparing theory and data on multi-species interactions using evolutionary game theory .” 2009. Web. 08 May 2021.

Vancouver:

Rael RC. Comparing theory and data on multi-species interactions using evolutionary game theory . [Internet] [Doctoral dissertation]. University of Arizona; 2009. [cited 2021 May 08]. Available from: http://hdl.handle.net/10150/194398.

Council of Science Editors:

Rael RC. Comparing theory and data on multi-species interactions using evolutionary game theory . [Doctoral Dissertation]. University of Arizona; 2009. Available from: http://hdl.handle.net/10150/194398